{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# `GPUTree` explainer\n",
    "\n",
    "This notebooks demonstrates how to use the GPUTree explainer on some simple datasets. Like the Tree explainer, the GPUTree explainer is specifically designed for tree-based machine learning models, but it is designed to accelerate the computations using NVIDA GPUs.\n",
    "\n",
    "Note that in order to use the GPUTree explainer you need to have an NVIDA GPU, and SHAP needs to have been compiled to support the current GPU libraries on your system. On a recent Ubuntu server the steps to make this happen would be:\n",
    "\n",
    "1. Check to makes sure you have the NVIDA CUDA Toolkit installed by running the `nvcc` command (the CUDA compiler) from the terminal. If this command is not found then you need to install it with something like `sudo apt install nvidia-cuda-toolkit`.\n",
    "2. Once the NVIDA CUDA Toolkit is installed you need to set the CUDA_PATH environment variable. If `which nvcc` produces `/usr/bin/nvcc` then you can run `export CUDA_PATH=/usr`.\n",
    "3. Build SHAP with CUDA support by cloning the shap repo using `git clone https://github.com/shap/shap.git` then running `python setup.py install --user`.\n",
    "\n",
    "If you run into issues with the above instructions, make sure you don't still have an old version of SHAP around by ensuring `import shap` fails before you start the new install.\n",
    "\n",
    "Below we domonstrate how to use the GPUTree explainer on a simple adult income classification dataset and model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "XGBClassifier(base_score=0.5, booster='gbtree', colsample_bylevel=1,\n",
       "              colsample_bynode=1, colsample_bytree=1, gamma=0, gpu_id=-1,\n",
       "              importance_type='gain', interaction_constraints='',\n",
       "              learning_rate=0.300000012, max_delta_step=0, max_depth=6,\n",
       "              min_child_weight=1, missing=nan, monotone_constraints='()',\n",
       "              n_estimators=100, n_jobs=0, num_parallel_tree=1, random_state=0,\n",
       "              reg_alpha=0, reg_lambda=1, scale_pos_weight=1, subsample=1,\n",
       "              tree_method='exact', validate_parameters=1, verbosity=None)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import xgboost\n",
    "\n",
    "import shap\n",
    "\n",
    "# get a dataset on income prediction\n",
    "X, y = shap.datasets.adult()\n",
    "\n",
    "# train an XGBoost model (but any other model type would also work)\n",
    "model = xgboost.XGBClassifier()\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tabular data with independent (Shapley value) masking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# build a Permutation explainer and explain the model predictions on the given dataset\n",
    "explainer = shap.explainers.GPUTree(model, X)\n",
    "shap_values = explainer(X)\n",
    "\n",
    "# get just the explanations for the positive class\n",
    "shap_values = shap_values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot a global summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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npF1PDq8uALgJEbzBLV599dVfhoSE/LS2ttajsbHxq5IekSSbzTaxoKAgUpLGjx///UEnkZSenn5Bkp+LU/mStttstq+8/fbbpRcvXvSoq6v7rqQHB5qrp6fHsHLlykXbt2/P6tN8Ygg1XExISLj8NaDRaGxKT0+vHKj/uXPnJrloPivpdUlfi4mJKTxz5kxkSUnJNySNWvAmSTNnzvxKeXn5T3p6enT27Nnws2fP/jkgIOCPEyZMqAwMDMzy9/d/xcfH54W0tLRrnquXlpbWIqklMjLSIUkGg8E+2Oc8ePDgBwc4dVrS7zds2PDY/v37n8nJyVlss9km9z5P7tK1K+fMmWO/dB3HYNe5URUVFYslad68eUczMzPv6Hc6V9Kf3XVtAACAYXnuZem5VwbvEzrAzSKP3Hn9FWajZWGU89WXyeQM0/Z9Tdr4pDOE+/Lvpfevcd7W2tfzH7l2zojx0ncfkKImSJ/+pbT7hLTrODuuAnjX4xlvcJupU6e+KUnl5eWXb6lsaGj4Wmdnp8aNG9e5Z8+e39/oNS6t8jomSbW1tRsG6ztnzpz0fqHbmAgNDf21JJWWlkaO9tyvvvrqT9etW/f5cePGdfW2NTY2GvPy8sKOHDmyde/evT85cOBA69KlS3cmJye7CjRHzb59+75ttVodnZ2dam1tfcCd1xqM3W43SJKXl1fZWNUAAAAwJM3tzlsuXb16DXS+76o1X+8rx22dA1+v9dJ3sVbvgfsMl6eH9PUPOI9LLjpvRR2OTyVIUyc4j1MPj15dADBGCN7gNuPGjfumJBUWFoYmJSVNlaTS0tL3SFJkZOTrgwy9xvr165+IiYkpCgkJ6fLy8rrqQfzHjx9fJkmNjY3jBpsjICDglyP6ICOwZcuW98yfPz8rNDS0zdvb22E0Gi/X+9prrz0tSU1NTUabzRY22tfeu3fv8ytWrPC94447noyNjc0ZP358p8FguHy+qanJeOTIka0nTpwotdls42/kWjabbfLy5ctfiYyMrPPz8+sxm81X/bNpbm42SFJbW9sA22m5X3BwcKkkZWdnJ61fv/6JgXbaBQAAcJeMjAxlZGRcv/2p90uOl5Tx+heU8foXJMdLV169Y/q39/bfHH5lnt5nt0nKTN098HXLLt3UERY0vDqv036wp+bKD/mV1+1/VbvBIC2NliTVHskdlXpop5122kerfSQMvbsgAjciLi5uf2Zm5h1ms1ldXV2XU57Jkye3lJWVWVauXPmHgICA53bt2nXcbrcrPj5+/Y4dO16TnLtW5uTkTB83blxndXW1V995k5OTvc6dO3fu7NmzA2zHdEVwcHDXxYsXr3qIxerVq184ePDgRyTJZrMFD/aQ/97PEBQU1FNbW3vVbdgJCQlrenc23bBhw+f37t37/EDzLF++/F9Hjhy5026//iPDEhISlm7fvv1I37beXVJXrVr1qzfeeOOj151kCGw228TW1tb/rK6ufuDMmTMx3d3OjVvnzZuXdfLkyfl9+0ZGRtYXFxcHzJ49+3x2dnb0QHNu3bo15dChQ/9saGi4bpAVFxe35/Dhw1v6tvX+c4+IiGgoKioKHGjsUPoN9s8nISFh7WuvvXagvd35LbCvr69j0qRJ5cHBwYf8/f3/b9euXS9fr/7rMRgMmYtjYhdn5s68fmcAAHB7OPysFDfgX6WGz3BpT6s+IdyAmtqkgPudO5v+41Hp7hXX9rHbpeAPSQ2t0k8/Jv2/xNGrtbXDucupJP31Eel9q4Y3/p7npL8dlJIWS+n/PXp1AcCNMVy/y7V4xhvcasqUKTvKysruLikpSenp6fG32+0KDw9v6g3drqeysjKtN3SbMWNGaVhY2G+9vb1fNZlMRQaDoUWSysvL/3ns2LGVDodj0BWc78TOmps2bfrUoUOH7pSksLCwtmnTpv3eYrGkm83mXIPB0CBJLS0tn+hd9eZwOEZxXf/ALj1D7duSvr158+YHXnvttd92d3crNzd3XnJysl9aWlrTcOZLTk72On78+N8bGhpMXl5emjt37r6AgIA/e3p6HjYajTWSOiXp4MGDpfX19SaHwzH628cO0Y4dO16Pj4/fVFxc/ML58+ejWlpaDJeew3eXpLvCwsLaY2Jint63b9+3x6pGAACAUeXnI8VNlw7nOZ+V5ip4e/ucM3STpE3zrz1/I94+e+U4asLwxjoczrolKWri6NUEAGOE4A1uFRQU9ITRaLy7pKQkoLm5OUmSwsPDtw11/Llz5zZIUkxMTGFOTk6Uqz4LFizwGZ1qb1xZWdmXJCk4OLh78eLFYX13c+11xx13jGm9e/bs+b/58+d/MSsra15XV5c6OjoSJP1tOHO0tLR8rrq62lOSVq5c+di+ffu+46qfxWK54ds6e1cADsbhcAyyXZe0c+fOvZKmJScnB7S2tn6wubnZVlVVtby4uDiooqLCu7Ky8pn169f77N+/n62zAADAreHetc4A68UD0hPvk8KCrz7/3L+c70umS7MmD29uh8N5S6grXd3SE5f2rgoLkhZPG/pYSfr5LqmwynlsWzK8ugDgJsQz3uBW27dvPx0ZGVnjcDhUV1dnNplMCgoKemIoY5OSkqb13sY4YcKEAXf/bGxsjBitem9UXV1dmCSFh4dnuQrdJKm1tTXuna3qWr6+vqd6j+12e+Bwx7e2tq6RJIvF4hgodEtMTIxra2sbcY29jEZjhyT19PQM+EVBd3f37KHMlZaW1rB3796fHDp0KLGwsDB48+bNyVar1e5wOJSXl/fFGy4WAADgZvGJrVLkeOdtp8nfkrIvONub2qRHfye99Jbz52/d53q84W7n6ykXG8DPfVj6cbp0rswZpElST4+UkSNtesr5LknP3H/tjqafe0F66FfOPm0dV9ov1EiP/V76zKXHMm+YKyUuHsknB4CbCive4HaTJk36W0FBwackaerUqZXbtm07e70xkuRwOPz6HLv8dzUxMXFJcXFxsKtzo8lgMFxOkAaqRZJ6enpMl/q4DLVTUlIMxcXFa0e/wuHp6Oi4HFZ6eHic7nvOaDT2SAN/Bkmy2+1el94H/Lry4sWLTw9Wg9Fo7L50nUHvk/fy8qqSFFtXV2dJSUkxpKamXrMCrr6+/p7B5hjIrl270hcsWHDy5MmTCy9evOg7kjkAAABuSj5e0r8ecwZhR/Ol2Ickf4tz91O73bnq7Fv3SVsXDn/u7AvS537lPPbycN7a2tgqdTqfIyyzSfrGB6QHNlw7tqld+r990o/SnaFcgEXqsTvH97ojVvr7l4ZfFwDchFjxBrcLDAz80tatW5O2bt2aNHPmzDVDHWcymXI9PZ13EF68ePHu/udTUlI8zp07lz6UTQxulNFoLOzdGbSrq2vaQP38/PwaJKm8vHx2cnLyNUFOZWVlelVVlde1I2+czWYLmT9//snExMRBV9QlJCQsO3fu3CpJCgkJ6dqxY8fBvue9vLyaJam9vT1goDm8vb3PXOqjjRs3fq7/+fj4+M2nTp1KGqwODw+POklqaWkZ9NZbq9W6X5JaW1sNTU1N1zxdNyEhYW1OTs66gcbHx8cP+qTglpaWMEny8fHpHqwfAADAu86CKOnU89LnbNK0iVJHlxRidd7CuftJ6bFr/oo9ND//pPSh9VLsFMnfR6pvcQZw8yKlzyRKJ74vfXmAuT+5VXrk36RVs5y7r7Z3OuuaMk769+XOzRj2Pi0F+7keDwDvMqx4g9ulpaW1SNo+gnEds2fPLsjNzY3Kzs6OXrhw4ZEJEyY8aTabz7S3tycXFBR8tbCwMHj8+PGdvc8bc5f09PSLEyZM6KyurvYsLCz84NatW/d4enruk9TaW6skhYWFpRUUFDxYU1PjmZ2dXbh58+Yve3p6ZnR1dc2rrKx8Kisra64b6zVnZWXNO3369OHo6OjKCRMm7PD19U29tKKts6ura1FDQ8N/5uTkJDY3Nxskac6cOT/tP4m/v/8pSRElJSXB69at+47Vav1fo9FYLkkGg6EzNTXV4efn9wMvL6/PdXR0KDMz8wdr166dabVafyPJ0NDQ8LmsrKz7zGaz3WKxGFpbW12uaPPz83tL0ora2lqPVatW/SEwMPAbRqOx4NJ1ulNTU3skyWq1ftff3//JxsZGY2Zm5lPr1q0LtFqtP3c4HH6NjY2fOnXq1H/6+Ph0t7W1ufzzbPfu3duioqJqw8LCen8fxyUZOzs7V5SXl3/5/PnzEyVp6tSph270HwAAAIDbDGU3U1dCg6QffsT5Gq3rfXyr8zUSK2Y5XwBwmyB4w01t6tSp76moqDhcX19vOnHixBJJaX3Pz58//7iHh0dDdXX1He6uJTo6+u/V1dX3lpaWWktLS//R77RBkoKDgz8eFRWVUlBQEFJQUDCuoKDgV307hYeHN02fPv37r7322qg/xN9gMHR6enqqs7NT58+fn3j+/PkHJD3gqq+Hh4eWLFnytwMHDny+/7mQkJDHfXx8Etva2gyvv/76o5Ie7T23atWqX0n66LZt2wrXrFnzi4MHD368sbHRmJGR8WlJn+7t5+3trZUrVz50/Pjx77e2trrcYMHf3/9rQUFBn6mrqzO/+eab90m6/ICRJUuWvCZpvSSlpaW1rV+//umMjIynm5ubja+//voXJH2ht++4ceO65s+f/5m9e/f+3NV1HA6HCgsLgwsLC++VdK+rPlFRUTWTJk1KdnUOAAAAAICR4lZT3NS2b99+bMWKFQvmzZt3KjAwsMdkMslqtdqjoqIurlu37jsnTpxY9E7VcvDgwftWr1798ylTpjT4+Pg4DC52Y0pNTe2aM2fOlKVLl+6YMGFCh9lslo+PjyZNmtS6bNmyVxYsWDDRaDTWu6O+tLS0ui1btgSvW7fum/Pnzz8+ZcqURj8/P7vZbJbZbJbVarVHREQ0LFmy5LWNGzeufvPNN10+F2379u0n1qxZ828xMTGFAQEBPSaT641JMzIyPrF+/fovREVFXfT29pbZbFZQUFD33Llzs9etW7dx796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\n",
      "text/plain": [
       "<Figure size 576x468 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 402,
       "width": 623
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.plots.bar(shap_values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot a single instance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 576x468 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 422,
       "width": 603
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.plots.waterfall(shap_values[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interaction values\n",
    "\n",
    "GPUTree support the Shapley taylor interaction values (an improvement over what the Tree explainer original provided)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "explainer2 = shap.explainers.GPUTree(model, feature_perturbation=\"tree_path_dependent\")\n",
    "interaction_shap_values = explainer2(X[:100], interactions=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 24 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 320,
       "width": 891
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.plots.scatter(interaction_shap_values[:, :, 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>\n",
    "Have an idea for more helpful examples? Pull requests that add to this documentation notebook are encouraged! "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
